Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841672 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 17 Pages |
Abstract
This paper investigates the problem {−Δp(x)u+ρ(x)f(x,u)=0in Ω,u(x)→+∞as d(x,∂Ω)→0, where −Δp(x)u=−div(|∇u|p(x)−2∇u)−Δp(x)u=−div(|∇u|p(x)−2∇u) is called the p(x)p(x)-Laplacian, and ρ(x)ρ(x) is a singular coefficient. The existence and nonexistence of boundary blow-up solutions is discussed, and the asymptotic behavior of boundary blow-up solutions is given. In particular, we do not assume radial symmetric conditions, and the pointwise different exact blow-up rate of solutions has been discussed.
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Authors
Qihu Zhang,